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Finding the Third Proportional to 2,404 and 3,713

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Solution

The third proportional to 2,404 and 3,713 is: 5,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404 : 3,713 = 3,713 : x
  2. Step 2: Convert to fraction form
    2,404/3,713 = 3,713/x
  3. Step 3: Cross multiply
    2,404x = 3,713 × 3,713
  4. Step 4: Simplify right side
    2,404x = 13,786,369
  5. Step 5: Solve for x
    x = 13,786,369/2,404
  6. Step 6: Final answer
    x = 5,734.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.